In a large bowl, combine cream cheese and 1/2 cup sugar. Mix at medium speed until smooth. Beat in eggs one at a time, mixing well after each addition. Blend in vanilla; pour filling into the baked crust.

In a small bowl, stir together 1/3 cup sugar and 1/2 teaspoon cinnamon. Toss the cinnamon-sugar with the apples to coat. Spoon apple mixture over cream cheese layer and sprinkle with 1/4 cup chopped pecans.

Bake in preheated oven for 60 to 70 minutes. With a knife, loosen cake from rim of pan. Let cool, then remove the rim of pan. Chill cake before serving.